101677171808 has 48 divisors (see below), whose sum is σ = 207420466176. Its totient is φ = 49011438720.

The previous prime is 101677171781. The next prime is 101677171831. The reversal of 101677171808 is 808171776101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66035 + ... + 455757.

It is an arithmetic number, because the mean of its divisors is an integer number (4321259712).

Almost surely, 2^101677171808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101677171808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103710233088).

101677171808 is an abundant number, since it is smaller than the sum of its proper divisors (105743294368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101677171808 is a wasteful number, since it uses less digits than its factorization.

101677171808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390027 (or 390019 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 47.

The spelling of 101677171808 in words is "one hundred one billion, six hundred seventy-seven million, one hundred seventy-one thousand, eight hundred eight".